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kvv77 [185]
4 years ago
11

Factor completely 5x^3-20x^2-60x

Mathematics
1 answer:
olchik [2.2K]4 years ago
4 0
<span>take 5x as a factor of each term 5x(x^2 -4x - 12) you now need to factor the quadratic... hope it helps

</span>
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Solve the following equation. 4 − 7 x + 10 = 15 − 6 x − 8
antiseptic1488 [7]

Answer:

x = 21

Step-by-step explanation:

4 - 7x +10 = 15 - 6x - 8

-7x + 14 = -6x -7

14 + 7 = -6x + 7x

21 = x or x=21

4 0
3 years ago
There are 10 acts on a talent show. An acrobat comedian dancer guitarist juggler magician pianist singer violinist and a whistle
hjlf

Answer:

The value of P (A) is 0.00833.

The value of P (B) is 0.00139.

Step-by-step explanation:

It is provided that there are 10 acts on a talent show.

The two events are defined as follows:

A: First three acts dancer, singer and the guitarist in any order

B: The comedian first guitarist second and pianist third

(1)

Compute the number of ways to select 3 acts from the 10 as follows:

{10\choose 3}=\frac{10!}{3!\cdot (10-3)!}=\frac{10!}{3!\cdot 7!}=120

There are 120 ways to select 3 acts from the 10 and only 1 way to select a dancer, singer and the guitarist in any order.

Compute the probability of selecting a dancer, singer and the guitarist in any order as follows:

P(A)=\frac{1}{120}=0.00833

Thus, the value of P (A) is 0.00833.

(2)

Compute the number of ways to select 3 acts from the 10 (without replacement) and with order as follows:

^{10}P_{3}=\frac{10!}{ (10-3)!}=\frac{10!}{ 7!}=720

There are 720 ways to select 3 acts from the 10 with order and only 1 way to select the comedian first guitarist second and pianist third.

Compute the probability of selecting the comedian first guitarist second and pianist third as follows:

P(B)=\frac{1}{720}=0.00139

Thus, the value of P (B) is 0.00139.

6 0
3 years ago
Adam recorded the number of flower blooms on each of his ten rose bushes. 9, 10, 4, 12, 15, 17, 18, 10, 12, 13 If he combined th
romanna [79]

Answer:

The correct option is;

A)

Step-by-step explanation:

The box plot diagram will be constructed as follows

From the question data we have that;

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Rearranging we have

4, 9, 10, 10,  12, 12, 13, 15, 17,18,

The minimum = 4

The maximum = 18

Median = 12

The lower quartile Q₁ = 10

The upper quartile Q₂ = 15

Therefore, the correct option  for the flower blooms on Rose brushes is A.

3 0
4 years ago
Read 2 more answers
An object has a mass of 5.0 kg. It’s 3.0 m off the ground and has a speed of 4 m/s. Calculate total mechanical energy of the obj
Vikki [24]
ME=(mv^2)/2+mgh  in this case:

ME=(5*4^2)/2+5*9.8*3

ME=40+147

ME=187 J
3 0
3 years ago
Please help i really don't know the answer.
inn [45]

Answer:

95 degrees

Step-by-step explanation:

The degrees of a pentagon adds up to 540 so just subtract the angles you have from that to get the answer

8 0
4 years ago
Read 2 more answers
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